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Finding the Fourth Proportional to 1,687.88, 2,531.71 and 633.48

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Solution

The fourth proportional to 1,687.88, 2,531.71 and 633.48 is: 950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.88 : 2,531.71 = 633.48 : x
  2. Step 2: Convert to fraction form
    1,687.88/2,531.71 = 633.48/x
  3. Step 3: Cross multiply
    1,687.88x = 2,531.71 × 633.48
  4. Step 4: Simplify right side
    1,687.88x = 1,603,784.48
  5. Step 5: Solve for x
    x = 1,603,784.48/1,687.88
  6. Step 6: Final answer
    x = 950.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.